Question 564210: A field researcher is gathering data on the trunk diameters of mature pine and spruce trees in a certain area. The following are the results of his random sampling. Can he conclude, at the .10 level of significance, that the average trunk diameter of a pine tree is greater than the average diameter of a spruce tree?
Sample size
Pine 40
Spruce 70
Mean trunk diameter (cm)
Pine 45
Spruce 39
Sample variance
Pine 100
Spruce 150
A. The data do not support the claim because the test value 1.29 is greater than 1.28.
B. The data support the claim because the test value 2.78 is greater than 1.28.
C. The data support the claim because the test value 2.78 is greater than 1.64.
D. The data do not support the claim because the test value 1.29 is less than 1.64.
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Answer: B
I ran a 2-Sample Ttest on my TI-84
and got the following:
test stat: t = 2.7846
Critcal value: inT(0.90,9504) = 1.29
p-value: 0.0065
df: 95.04
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Cheers,
Stan H.
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